Obtain the GS of: 2 (Згу — 4у + 6) dz + (23 — ва? ? — 1) dy %3D 0 - a. x³y – 2x?y3 + 3x² b. x3у — Зx2 + у? %3D С с. —Зx2 + х3у + у2 + С %3D0 а. d. x2 + 4xy+y? %3D с %3 с O d a b

Q: (b) ruz – 2yuy + u = eª , for x> 0

A: 1.(b) Given partial differential equation xux-2yuy+u=ex, for x>0 This can be written as…

Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: Quèstion 17 Solve x33) - 6x²y`+19xy` -27y=D0 | Ocgedx + Czx?nx + c3x (inx)? O Gx²+ Czx?inx +…

A:

Q: (a) 3 Differentiate y= y 3= us ing first principle. 2x+2

A: we are allow to do one question at a time  if you rest of answere please specify that part and…

Q: fin (z° + 15z + 44)dz

A:

Q: 4-у2 r2x+y dzdædy -V4-y2 Jo

A:

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

A:

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: Differentiatethefunctionandsimplifyyouranswerasmuchaspossible.Donotforget to show all steps Vã +6 y…

A:

Q: 3. zy if y + x² – 3xz = 222

A:

Q: T: R2 R2 is defined by х + 7х, [3x, – 4x2] X1 %3D and B = {u,,u,} and B' = {v,v,}, where %3D -- --…

A: Given transformation T:R2→R2, defined by Tx1x2=x1+7x23x1-4x2 and B=u1, u2 and B'=v1,v2 Here u1=22,…

Q: Solve for the unknown variables using Cramer's Rule * 4x + y +z + w = 6 3x +7y - z +w = 1 7x + 3y…

A: Given 4x + y +z+w=6 3x +7y - z+w = 1 7x + 3y -5z +8w = -3 x+y+z+2w=3

Q: What is the counterexample of x+x>x ?

A:

Q: f (x, y) = x+ 5y 2 +y = 25,

A:

Q: If f(x,y.z)= In(x2 +y³ +2z5), Find and dx² dz2

A:

Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: f(z, 9) = 82" + 5y² + 4z°y+ e7=y of Calculate

A:

Q: value of c in the equation: dV/dt = -500 (t+1)-2, when  V=700and t=0 is

A: follow next step

Q: max z = 2x + 8y %3D s.t 3x + 9y 12 х, у > 0

A:

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: Evaluate -5у-5 dy 31. Jv+2y-4

A:

Q: 2,t-3P dt, then %3D 12

A:

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: Solve using D-Operator 3. y + 2y + y = x²

A:

Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

A:

Q: Solve for ∂w/∂y and ∂w/∂x w=(x-y)/(x+y)

A:

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: Solve for x, y z from X - 1 1 2 Z 3. 6 6

A: 2x-113y=2z66

Q: 3 - If h(x, y) = y – xy – x2, find at the point (2, n) ду

A: The given function is hx, y=y-xy-x2 and the point is 2, π.

Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

A: In this question, the concept of Linear Programming is applied. Simplex Method An approach to…

Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: Exercise (6): cx=1 cy=2 cz=9/2 ha dzdydx

A: To evaluate the given triple integral

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

A:

Q: B) Then show | x + y|<|x| +1y|

A:

Q: Then: f(x, y) = exy 2z3y fxxy 2 2z?y fxxz' XXZ 2z y Ofxyy= x2 Of- 2z3y2 fx² X

A:

Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

A:

Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

A:

Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

A:

Q: 4. y = vx + 2 x,for-

A:

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: Suppose that f(x, y) = 32 y at which {(x, y) | æ² + y² < 3²}.

A:

Q: Solve Utt - c²uxx = 0, –n 0, %3D и(х, 0) %3D f(x), и(-п,t) %3D0 %3D и(п,t), и,(-п,t) %3D 0 %3Du,…

A:

Q: f (x, y, 2) = x³ /+42³y² – xyz +x² – Vz5 VI+ 42°y? – ryz+ x² – Vz5 - -

A:

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

A:

Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…

Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

A:

Q: Q,3 Evaluate [II, xyz dxdydz, 3 < x S-2,0 < y S 1,0 S zs-

A:

Q: Evaluate B: А: Vye-y° dy 3e-4z2 dz 0, 0,

A: There is a general integral that gets calculated with the help of β function. The integral is…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.